Finding the Third Proportional to 243,912,405,892 and 528,346,107,656
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Solution
The third proportional to 243,912,405,892 and 528,346,107,656 is: 1,144,466,631,184.18
Step by Step Solution
- Step 1: Write the proportion equation
243,912,405,892 : 528,346,107,656 = 528,346,107,656 : x - Step 2: Convert to fraction form
243,912,405,892/528,346,107,656 = 528,346,107,656/x - Step 3: Cross multiply
243,912,405,892x = 528,346,107,656 × 528,346,107,656 - Step 4: Simplify right side
243,912,405,892x = 279,149,609,475,245,550,338,048 - Step 5: Solve for x
x = 279,149,609,475,245,550,338,048/243,912,405,892 - Step 6: Final answer
x = 1,144,466,631,184.18
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Why These Related Problems?
These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.